Least Common Multiple of 91/357, 43/295, 361/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/357, 43/295, 361/460 quickly i.e. 1412593 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/357, 43/295, 361/460 is 1412593.

LCM(91/357, 43/295, 361/460) = 1412593

LCM of 91/357, 43/295, 361/460

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 91/357,43/295,361/460

Given numbers are 91/357,43/295,361/460

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 91,43,361

Least Common Multiple of Numerators i.e. LCM of 91,43,361 is 1412593.

GCF of Denominators means GCF of 357,295,460 as per the given fractions.

GCF of 357,295,460 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,43,361

LCM of Fractions 91/357,43/295,361/460 is 1412593

Given numbers has no common factors except 1. So, there LCM is their product i.e 1412593

Least Common Multiple of 91,43,361 with GCF Formula

Least Common Multiple of 91,43,361 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 91,43,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,43,361) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(91,43,361) x common factors =1 x 1 = 1

LCM(91,43,361) = ( 91 × 43 × 361 ) / 1

LCM(91,43,361) = 1412593 / 1

LCM(91,43,361) = 1412593


Lets's calculate GCF of 357,295,460

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1412593/1

Therefore the LCM of Fractions 91/357,43/295,361/460 is 1412593

Greatest Common Factor of 357,295,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,295,460 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 357,295,460 . The biggest common factor number is the GCF number.
So the greatest common factor 357,295,460 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 91/357, 43/295, 361/460

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 91/357, 43/295, 361/460?

Answer: LCM of Numerators as per given numbers 91/357, 43/295, 361/460 is

LCM of Numerators i.e. for 91,43,361 is 1412593

GCF of denominators i.e. for 357,295,460 is 1.

Thus, LCM of Fractions is 1412593.Finally, LCM of Fractions for 91/357, 43/295, 361/460 is 1412593.